152.1.g.a |
\(1\) |
\(0.076\) |
\(\Q\) |
\(\Q(\sqrt{-38}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(-1\) |
|
\(q-q^{2}+q^{3}+q^{4}-q^{6}-q^{7}-q^{8}+\cdots\)
|
152.1.g.b |
\(1\) |
\(0.076\) |
\(\Q\) |
\(\Q(\sqrt{-38}) \) |
None |
\(1\) |
\(-1\) |
\(0\) |
\(-1\) |
|
\(q+q^{2}-q^{3}+q^{4}-q^{6}-q^{7}+q^{8}+\cdots\)
|
152.1.k.a |
\(2\) |
\(0.076\) |
\(\Q(\sqrt{-3}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(-1\) |
\(1\) |
\(0\) |
\(0\) |
|
\(q+\zeta_{6}^{2}q^{2}-\zeta_{6}^{2}q^{3}-\zeta_{6}q^{4}+\zeta_{6}q^{6}+\cdots\)
|
152.1.u.a |
\(6\) |
\(0.076\) |
\(\Q(\zeta_{18})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(-3\) |
\(0\) |
\(0\) |
|
\(q-\zeta_{18}^{5}q^{2}+(\zeta_{18}^{6}-\zeta_{18}^{7})q^{3}-\zeta_{18}q^{4}+\cdots\)
|
152.2.a.a |
\(1\) |
\(1.214\) |
\(\Q\) |
None |
None |
\(0\) |
\(-2\) |
\(-1\) |
\(-3\) |
\(+\) |
\(q-2q^{3}-q^{5}-3q^{7}+q^{9}-3q^{11}+\cdots\)
|
152.2.a.b |
\(1\) |
\(1.214\) |
\(\Q\) |
None |
None |
\(0\) |
\(1\) |
\(0\) |
\(3\) |
\(-\) |
\(q+q^{3}+3q^{7}-2q^{9}+2q^{11}+q^{13}+\cdots\)
|
152.2.a.c |
\(3\) |
\(1.214\) |
3.3.961.1 |
None |
None |
\(0\) |
\(1\) |
\(1\) |
\(4\) |
\(-\) |
\(q+\beta _{1}q^{3}-\beta _{2}q^{5}+(2-\beta _{1}+\beta _{2})q^{7}+\cdots\)
|
152.2.b.a |
\(2\) |
\(1.214\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta q^{2}+2\beta q^{3}-2q^{4}-4q^{6}-2\beta q^{8}+\cdots\)
|
152.2.b.b |
\(4\) |
\(1.214\) |
\(\Q(\sqrt{-3}, \sqrt{5})\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-\beta _{2}q^{2}+(\beta _{1}-\beta _{2})q^{3}+\beta _{3}q^{4}+(-2+\cdots)q^{6}+\cdots\)
|
152.2.b.c |
\(12\) |
\(1.214\) |
12.0.\(\cdots\).1 |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}-\beta _{3}q^{3}+\beta _{2}q^{4}+(-\beta _{5}+\beta _{8}+\cdots)q^{5}+\cdots\)
|
152.2.c.a |
\(2\) |
\(1.214\) |
\(\Q(\sqrt{-1}) \) |
None |
None |
\(-2\) |
\(0\) |
\(0\) |
\(4\) |
|
\(q+(-1+i)q^{2}-2iq^{4}+2q^{7}+(2+2i)q^{8}+\cdots\)
|
152.2.c.b |
\(16\) |
\(1.214\) |
\(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-8\) |
|
\(q+\beta _{9}q^{2}+\beta _{4}q^{3}+\beta _{2}q^{4}+(\beta _{1}+\beta _{6}+\cdots)q^{5}+\cdots\)
|
152.2.i.a |
\(2\) |
\(1.214\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(-3\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}+(-3+3\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots\)
|
152.2.i.b |
\(2\) |
\(1.214\) |
\(\Q(\sqrt{-3}) \) |
None |
None |
\(0\) |
\(-1\) |
\(4\) |
\(0\) |
|
\(q+(-1+\zeta_{6})q^{3}+(4-4\zeta_{6})q^{5}+2\zeta_{6}q^{9}+\cdots\)
|
152.2.i.c |
\(6\) |
\(1.214\) |
6.0.2696112.1 |
None |
None |
\(0\) |
\(-1\) |
\(-1\) |
\(-4\) |
|
\(q+(-\beta _{1}+\beta _{5})q^{3}-\beta _{1}q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
|
152.2.o.a |
\(4\) |
\(1.214\) |
\(\Q(\sqrt{2}, \sqrt{-3})\) |
None |
None |
\(0\) |
\(-6\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(-1+\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots\)
|
152.2.o.b |
\(4\) |
\(1.214\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(6\) |
\(0\) |
\(0\) |
|
\(q+\beta _{1}q^{2}+(1-\beta _{1}+\beta _{2})q^{3}+2\beta _{2}q^{4}+\cdots\)
|
152.2.o.c |
\(28\) |
\(1.214\) |
|
None |
None |
\(-3\) |
\(-6\) |
\(0\) |
\(0\) |
|
|
152.2.p.a |
\(36\) |
\(1.214\) |
|
None |
None |
\(-1\) |
\(0\) |
\(0\) |
\(-8\) |
|
|
152.2.q.a |
\(6\) |
\(1.214\) |
\(\Q(\zeta_{18})\) |
None |
None |
\(0\) |
\(-6\) |
\(6\) |
\(3\) |
|
\(q+(-1+\zeta_{18}^{2}-\zeta_{18}^{5})q^{3}+(1-\zeta_{18}^{5})q^{5}+\cdots\)
|
152.2.q.b |
\(6\) |
\(1.214\) |
\(\Q(\zeta_{18})\) |
None |
None |
\(0\) |
\(9\) |
\(-6\) |
\(6\) |
|
\(q+(1-\zeta_{18}^{2}+\zeta_{18}^{3}+\zeta_{18}^{4}+2\zeta_{18}^{5})q^{3}+\cdots\)
|
152.2.q.c |
\(18\) |
\(1.214\) |
\(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-9\) |
|
\(q+(\beta _{2}-\beta _{4})q^{3}+(-\beta _{6}+\beta _{7}-\beta _{10}+\cdots)q^{5}+\cdots\)
|
152.2.t.a |
\(108\) |
\(1.214\) |
|
None |
None |
\(-6\) |
\(0\) |
\(0\) |
\(-6\) |
|
|
152.2.v.a |
\(12\) |
\(1.214\) |
12.0.\(\cdots\).1 |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(-6\) |
\(0\) |
\(0\) |
|
\(q-\beta _{11}q^{2}+(\beta _{1}+\beta _{3}-\beta _{6}-\beta _{9}+\beta _{10}+\cdots)q^{3}+\cdots\)
|
152.2.v.b |
\(96\) |
\(1.214\) |
|
None |
None |
\(-6\) |
\(-6\) |
\(0\) |
\(0\) |
|
|
152.3.e.a |
\(2\) |
\(4.142\) |
\(\Q(\sqrt{-2}) \) |
None |
None |
\(0\) |
\(0\) |
\(14\) |
\(22\) |
|
\(q+\beta q^{3}+7q^{5}+11q^{7}-23q^{9}+3q^{11}+\cdots\)
|
152.3.e.b |
\(8\) |
\(4.142\) |
\(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(-14\) |
\(-6\) |
|
\(q+\beta _{1}q^{3}+(-2-\beta _{4})q^{5}+(-1+\beta _{3}+\cdots)q^{7}+\cdots\)
|
152.3.f.a |
\(36\) |
\(4.142\) |
|
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(0\) |
|
|
152.3.g.a |
\(3\) |
\(4.142\) |
3.3.4104.1 |
\(\Q(\sqrt{-38}) \) |
None |
\(-6\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q-2q^{2}-\beta _{1}q^{3}+4q^{4}+2\beta _{1}q^{6}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
|
152.3.g.b |
\(3\) |
\(4.142\) |
3.3.4104.1 |
\(\Q(\sqrt{-38}) \) |
None |
\(6\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+2q^{2}+\beta _{1}q^{3}+4q^{4}+2\beta _{1}q^{6}+(-2\beta _{1}+\cdots)q^{7}+\cdots\)
|
152.3.g.c |
\(32\) |
\(4.142\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(-4\) |
|
|
152.3.k.a |
\(4\) |
\(4.142\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(4\) |
\(-2\) |
\(0\) |
\(0\) |
|
\(q+2\beta _{1}q^{2}+(-\beta _{1}-\beta _{2})q^{3}+(-4+4\beta _{1}+\cdots)q^{4}+\cdots\)
|
152.3.k.b |
\(72\) |
\(4.142\) |
|
None |
None |
\(-5\) |
\(0\) |
\(0\) |
\(0\) |
|
|
152.3.l.a |
\(76\) |
\(4.142\) |
|
None |
None |
\(-3\) |
\(0\) |
\(0\) |
\(-8\) |
|
|
152.3.n.a |
\(20\) |
\(4.142\) |
\(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
None |
None |
\(0\) |
\(-6\) |
\(0\) |
\(-16\) |
|
\(q+\beta _{2}q^{3}+\beta _{19}q^{5}+(-1-\beta _{3})q^{7}+\cdots\)
|
152.3.r.a |
\(60\) |
\(4.142\) |
|
None |
None |
\(0\) |
\(6\) |
\(0\) |
\(0\) |
|
|
152.3.s.a |
\(228\) |
\(4.142\) |
|
None |
None |
\(-6\) |
\(0\) |
\(0\) |
\(-6\) |
|
|
152.3.u.a |
\(12\) |
\(4.142\) |
12.0.\(\cdots\).1 |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(6\) |
\(0\) |
\(0\) |
|
\(q+(-2\beta _{1}+2\beta _{5})q^{2}+(\beta _{3}+\beta _{4}-\beta _{6}+\cdots)q^{3}+\cdots\)
|
152.3.u.b |
\(216\) |
\(4.142\) |
|
None |
None |
\(-6\) |
\(-18\) |
\(0\) |
\(0\) |
|
|
152.4.a.a |
\(2\) |
\(8.968\) |
\(\Q(\sqrt{57}) \) |
None |
None |
\(0\) |
\(-1\) |
\(-5\) |
\(-6\) |
\(-\) |
\(q-\beta q^{3}+(-3+\beta )q^{5}+(-5+4\beta )q^{7}+\cdots\)
|
152.4.a.b |
\(3\) |
\(8.968\) |
3.3.3221.1 |
None |
None |
\(0\) |
\(-5\) |
\(2\) |
\(-35\) |
\(-\) |
\(q+(-2-\beta _{2})q^{3}+(1-\beta _{1}+2\beta _{2})q^{5}+\cdots\)
|
152.4.a.c |
\(3\) |
\(8.968\) |
3.3.7057.1 |
None |
None |
\(0\) |
\(4\) |
\(7\) |
\(7\) |
\(+\) |
\(q+(1+\beta _{2})q^{3}+(2+2\beta _{1}+\beta _{2})q^{5}+(2+\cdots)q^{7}+\cdots\)
|
152.4.a.d |
\(5\) |
\(8.968\) |
\(\mathbb{Q}[x]/(x^{5} - \cdots)\) |
None |
None |
\(0\) |
\(2\) |
\(0\) |
\(22\) |
\(+\) |
\(q+\beta _{2}q^{3}+(\beta _{1}+\beta _{2})q^{5}+(4+\beta _{2}-\beta _{3}+\cdots)q^{7}+\cdots\)
|
152.4.b.a |
\(2\) |
\(8.968\) |
\(\Q(\sqrt{-2}) \) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
\(q+2\beta q^{2}-2\beta q^{3}-8q^{4}+8q^{6}-2^{4}\beta q^{8}+\cdots\)
|
152.4.b.b |
\(56\) |
\(8.968\) |
|
None |
None |
\(0\) |
\(0\) |
\(0\) |
\(0\) |
|
|
152.4.c.a |
\(54\) |
\(8.968\) |
|
None |
None |
\(2\) |
\(0\) |
\(0\) |
\(28\) |
|
|
152.4.i.a |
\(14\) |
\(8.968\) |
\(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
None |
None |
\(0\) |
\(5\) |
\(5\) |
\(-28\) |
|
\(q+(-\beta _{1}+\beta _{7})q^{3}+(\beta _{7}+\beta _{8})q^{5}+(-2+\cdots)q^{7}+\cdots\)
|
152.4.i.b |
\(16\) |
\(8.968\) |
\(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
None |
None |
\(0\) |
\(0\) |
\(-5\) |
\(-8\) |
|
\(q-\beta _{5}q^{3}+(\beta _{2}+\beta _{3})q^{5}+(-1-\beta _{2}+\cdots)q^{7}+\cdots\)
|
152.4.o.a |
\(4\) |
\(8.968\) |
\(\Q(\sqrt{-2}, \sqrt{-3})\) |
\(\Q(\sqrt{-2}) \) |
None |
\(0\) |
\(-30\) |
\(0\) |
\(0\) |
|
\(q+2\beta _{1}q^{2}+(-5+\beta _{1}-5\beta _{2})q^{3}+8\beta _{2}q^{4}+\cdots\)
|
152.4.o.b |
\(112\) |
\(8.968\) |
|
None |
None |
\(-3\) |
\(24\) |
\(0\) |
\(0\) |
|
|